Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-02-29
Phys.Rev. D63 (2001) 024011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
RevTex, 17 pages, 20 images
Scientific paper
10.1103/PhysRevD.63.024011
The field equations for a time dependent cylindrical cosmic string coupled to gravity are reformulated in terms of geometrical variables defined on a 2+1-dimensional spacetime by using the method of Geroch decomposition. Unlike the 4-dimensional spacetime the reduced case is asymptotically flat. A numerical method for solving the field equations which involves conformally compactifying the space and including null infinity as part of the grid is described. It is shown that the code reproduces the results of a number of vacuum solutions with one or two degrees of freedom. In the final section the interaction between the cosmic string and a pulse of gravitational radiation is briefly described. This will be fully analysed in the sequel.
Sjodin K. R. P.
Sperhake Uli
Vickers James A.
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